Atkin-Lehner |
2- 5+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
42640g |
Isogeny class |
Conductor |
42640 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-3.4730938170163E+20 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 -2 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3829216,3021556416] |
[a1,a2,a3,a4,a6] |
Generators |
[1050:12546:1] |
Generators of the group modulo torsion |
j |
-1515980001744324020449/84792329517000625 |
j-invariant |
L |
6.6310695074192 |
L(r)(E,1)/r! |
Ω |
0.16832817167115 |
Real period |
R |
3.2828083388057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2665c2 |
Quadratic twists by: -4 |